{"id":"vidhyamitra:city-day:berlin:2016-10-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2016-10-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2016-10-03","date_display":"October 3, 2016 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2016,"month":10,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457664.770833,"kali_year":5118,"ahargana":1869199.2708,"sun":{"sidereal_longitude":165.3942,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":190.7312,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":25.3369,"elapsed_within_tithi_degrees":1.3369},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":190.7312,"elapsed_within_degrees":4.0645},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":356.1254},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2016,"month":10,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457664.770833,"ahargana":1869199.2708,"kali_year":5118,"ayanamsa_lahiri":24.0871,"grahas":{"sun":{"sidereal_longitude":166.18029,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"moon":{"sidereal_longitude":188.49888999999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false,"latitude":3.4409},"mars":{"sidereal_longitude":249.51669000000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":149.13309000000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":160.42649000000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"venus":{"sidereal_longitude":197.17159000000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":227.48758999999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":140.8274,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":320.8274,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2016,"month":10,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457664.770833,"kali_year":5118,"ahargana":1869199.2708,"sun":{"sidereal_longitude":165.3942,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":190.7312,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":25.3369,"elapsed_within_tithi_degrees":1.3369},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":190.7312,"elapsed_within_degrees":4.0645},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":356.1254},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.441,"elongation":25.337},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.441,"opposition_distance":154.663}},"eclipse_window_40days":[{"offset_days":-16,"type":"lunar","occurs":true,"moon_latitude":-0.783,"opposition_distance":1.976}]},"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"tier2":{"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"sunriseLocal":"06:10","sunsetLocal":"17:39","solarNoonLocal":"11:55","dayLengthHours":11.474476279659358,"dayLengthDisplay":"11 Hours 28 Mins 28 Secs","nightLengthDisplay":"12 Hours 31 Mins 32 Secs","moonriseLocal":"08:26","moonsetLocal":"18:21","rahuKala":{"name":"Rāhu Kāla","start":"07:36","end":"09:02","startHours":7.606832577101816,"endHours":9.041142112059235,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:29","end":"11:55","startHours":10.475451647016655,"endHours":11.909761181974076,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:21","end":"14:47","startHours":13.344070716931494,"endHours":14.778380251888915,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:14","startHours":8.84990084073158,"endHours":9.232383383386892,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:39","end":"06:57","startHours":6.650626220463536,"endHours":6.956612254587786,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:32","end":"12:18","startHours":11.527278639318764,"endHours":12.292243724629389,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:39","end":"05:24","startHours":4.642592871523148,"endHours":5.407557956833773,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:13","end":"06:10","startHours":5.216316685506117,"endHours":6.172523042144396,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:49","end":"14:35","startHours":13.822173895250636,"endHours":14.58713898056126,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:27","end":"17:51","startHours":17.446999321803755,"endHours":17.846999321803754,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:39","end":"18:08","startHours":17.646999321803754,"endHours":18.125102500122896,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:24","end":"19:09","startHours":17.396999321803754,"endHours":19.146999321803754,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:32","end":"00:18","startHours":23.527278639318766,"endHours":24.292243724629387,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:10","end":"07:36","startHours":6.172523042144396,"endHours":7.606832577101816,"quality":"auspicious"},{"name":"Kāla","start":"07:36","end":"09:02","startHours":7.606832577101816,"endHours":9.041142112059235,"quality":"inauspicious"},{"name":"Śubha","start":"09:02","end":"10:29","startHours":9.041142112059235,"endHours":10.475451647016655,"quality":"auspicious"},{"name":"Roga","start":"10:29","end":"11:55","startHours":10.475451647016655,"endHours":11.909761181974076,"quality":"inauspicious"},{"name":"Udveg","start":"11:55","end":"13:21","startHours":11.909761181974076,"endHours":13.344070716931494,"quality":"inauspicious"},{"name":"Chala","start":"13:21","end":"14:47","startHours":13.344070716931494,"endHours":14.778380251888915,"quality":"neutral"},{"name":"Labha","start":"14:47","end":"16:13","startHours":14.778380251888915,"endHours":16.212689786846333,"quality":"auspicious"},{"name":"Amṛta","start":"16:13","end":"17:39","startHours":16.212689786846333,"endHours":17.646999321803754,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:39","end":"19:13","startHours":17.646999321803754,"endHours":19.212689786846333,"quality":"neutral"},{"name":"Labha","start":"19:13","end":"20:47","startHours":19.212689786846333,"endHours":20.778380251888915,"quality":"auspicious"},{"name":"Amṛta","start":"20:47","end":"22:21","startHours":20.778380251888915,"endHours":22.344070716931494,"quality":"auspicious"},{"name":"Kāla","start":"22:21","end":"23:55","startHours":22.344070716931494,"endHours":23.909761181974076,"quality":"inauspicious"},{"name":"Śubha","start":"23:55","end":"01:29","startHours":23.909761181974076,"endHours":25.475451647016655,"quality":"auspicious"},{"name":"Roga","start":"01:29","end":"03:02","startHours":25.475451647016655,"endHours":27.041142112059234,"quality":"inauspicious"},{"name":"Udveg","start":"03:02","end":"04:36","startHours":27.041142112059234,"endHours":28.606832577101816,"quality":"inauspicious"},{"name":"Chala","start":"04:36","end":"06:10","startHours":28.606832577101816,"endHours":30.172523042144398,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:10","end":"07:10","startHours":6.172523042144396,"endHours":7.172523042144396,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:10","end":"08:10","startHours":7.172523042144396,"endHours":8.172523042144396,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:10","end":"09:10","startHours":8.172523042144396,"endHours":9.172523042144396,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:10","end":"10:10","startHours":9.172523042144396,"endHours":10.172523042144396,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:10","end":"11:10","startHours":10.172523042144396,"endHours":11.172523042144396,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:10","end":"12:10","startHours":11.172523042144396,"endHours":12.172523042144396,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:10","end":"13:10","startHours":12.172523042144396,"endHours":13.172523042144396,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:10","end":"14:10","startHours":13.172523042144396,"endHours":14.172523042144396,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:10","end":"15:10","startHours":14.172523042144396,"endHours":15.172523042144396,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:10","end":"16:10","startHours":15.172523042144396,"endHours":16.172523042144398,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:10","end":"17:10","startHours":16.172523042144398,"endHours":17.172523042144398,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:10","end":"18:10","startHours":17.172523042144398,"endHours":18.172523042144398,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:10","end":"19:10","startHours":18.172523042144398,"endHours":19.172523042144398,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:10","end":"20:10","startHours":19.172523042144398,"endHours":20.172523042144398,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:10","end":"21:10","startHours":20.172523042144398,"endHours":21.172523042144398,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:10","end":"22:10","startHours":21.172523042144398,"endHours":22.172523042144398,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:10","end":"23:10","startHours":22.172523042144398,"endHours":23.172523042144398,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:10","end":"00:10","startHours":23.172523042144398,"endHours":24.172523042144398,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:10","end":"01:10","startHours":24.172523042144398,"endHours":25.172523042144398,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:10","end":"02:10","startHours":25.172523042144398,"endHours":26.172523042144398,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:10","end":"03:10","startHours":26.172523042144398,"endHours":27.172523042144398,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:10","end":"04:10","startHours":27.172523042144398,"endHours":28.172523042144398,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:10","end":"05:10","startHours":28.172523042144398,"endHours":29.172523042144398,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:10","end":"06:10","startHours":29.172523042144398,"endHours":30.172523042144398,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-4.065263203931489,"eotMinutes":11.794329081555436,"ayanamsa":24.0871}},"calendars":{"vikram_samvat":2073,"vikram_samvatsara":"Saumya","saka_samvat":1938,"saka_samvatsara":"Durmukhi","bengali_samvat":1423,"malayalam_era":1192,"nanakshahi_year":547,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Tṛtīyā · Vikram 2073 Saumya · Śaka 1938 Durmukhi"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"berlin"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 3, 2016 CE · Berlin, Germany · Vidhyamitra","description":"October 3, 2016 CE for Berlin, Germany: Śukla Tṛtīyā, sūryodaya 06:10, sūryāsta 17:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2016-10-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2016-10-03","sa":"https://sa.vidhyamitra.com/city/berlin/2016-10-03","hi":"https://hi.vidhyamitra.com/city/berlin/2016-10-03","x-default":"https://vidhyamitra.com/city/berlin/2016-10-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T11:26:32.691Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-31T11:26:32.691Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T11:26:32.691Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}